Global number field search results

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Degree	Signature	Galois group	Class number	Class group
Regulator	Num. ramified primes	Ramified primes		Unramified primes
CM field	Discriminant		Root discriminant

Results (displaying all 8 matches)

Label	Polynomial	Discriminant	Galois group	Class group
15.3.160026687351380000000.1	x^15 - 3x^14 - 2x^13 - 2x^12 + 28x^11 + 23x^10 - 43x^9 - 63x^8 - 39x^7 + 75x^6 + 47x^5 - 44x^4 + 12x^3 + x^2 + 2x - 1	\( 2^{8}\cdot 5^{7}\cdot 19^{2}\cdot 53^{6} \)	15T76	Trivial
15.1.363171920254948343808.1	x^15 - 2x^12 + 2x^9 + 4x^6 + x^3 - 2	\( -\,2^{20}\cdot 3^{15}\cdot 17^{6} \)	15T76	Trivial
15.1.363171920254948343808.2	x^15 - 6x^12 + 14x^9 - 14x^6 + 3x^3 + 4	\( -\,2^{20}\cdot 3^{15}\cdot 17^{6} \)	15T76	Trivial
15.3.24150733950852483977812500.1	x^15 - 15x^13 - 8x^12 + 99x^11 + 105x^10 - 152x^9 + 234x^8 + 1698x^7 + 2018x^6 + 171x^5 - 1152x^4 - 1145x^3 - 954x^2 - 318x + 106	\( 2^{2}\cdot 3^{20}\cdot 5^{7}\cdot 53^{6} \)	15T76	Trivial (GRH)
15.5.190841019141195917902787328.1	x^15 - 5x^12 - x^9 + 28x^6 - 20x^3 - 12	\( -\,2^{8}\cdot 3^{13}\cdot 881^{6} \)	15T76	Trivial (GRH)
15.5.190841019141195917902787328.2	x^15 - 5x^12 - x^9 + 18x^6 - 4	\( -\,2^{8}\cdot 3^{13}\cdot 881^{6} \)	15T76	Trivial (GRH)
15.15.188613969258415859047907606953125.1	x^15 - 6x^14 - 99x^13 + 828x^12 + 1788x^11 - 31470x^10 + 39915x^9 + 419754x^8 - 1257327x^7 - 1619812x^6 + 10239144x^5 - 4633212x^4 - 27918981x^3 + 30020616x^2 + 22949361x - 33389427	\( 3^{22}\cdot 5^{7}\cdot 23^{2}\cdot 31^{2}\cdot 73^{6} \)	15T76	Trivial (GRH)
15.15.19233564923030865637054050000000000.1	x^15 - 150x^13 - 30x^12 + 9000x^11 + 3600x^10 - 271500x^9 - 162000x^8 + 4185000x^7 + 3254000x^6 - 28350000x^5 - 25140000x^4 + 41190000x^3 + 12600000x^2 - 20700000x + 4500000	\( 2^{10}\cdot 3^{26}\cdot 5^{11}\cdot 73^{6} \)	15T76	Trivial (GRH)